Global Existence and Decay Estimates for Quasilinear Wave Equations with Nonuniform Dissipative Term
Author:
Affiliation:
1. Hiroshima University
Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
Subject
Geometry and Topology,Algebra and Number Theory,Analysis
Reference16 articles.
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2. [2] Charao, R. C. and Ikehata, R., Decay of solutions for a semilinear system of elastic waves in an exterior domain with damping near infinity, Nonlinear Anal., 67 (2007), 398-429.
3. [3] Dharmawardane, P. M. N., Nakamura, T. and Kawashima, S., Global solutions to quasi-linear hyperbolic systems of viscoelasticity, Kyoto J. Math., 51 (2011), 467-483.
4. [4] Gilbarg, D. and Trudinger, N., Elliptic Partial Differential Equations of Second Order, 2nd ed., Grundlehren der Mathematischen Wissenschaften, 224, Springer-Verlag, Berlin, 1983.
5. [5] Ikehata, R., Fast decay of solutions for linear wave equations with dissipation localized near infinity in an exterior domain, J. Differential Equations, 188 (2003), 390-405.
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